Q. 8.22 - An Introduction to General, Organic, and Biological Chemistry

Question

A patient's oxygen tank holds 20.0 L of oxygen (0₂) at a pressure of 15.0 atm. What is the final volume, in liters, of this gas when it is released at a pressure of 1.00 atm with no change in temperature and amount of gas?

Step-by-Step Solution

Answer

The final volume, in liters, of this gas when it is released at a pressure of $1.00 atm$ with no change in temperature and amount of gas is $300.0L$.

Step 1: Given information

We need to find the final volume of gas when it is released at pressure of $1.00 atm$.

Step 2: Explanation

As the temperature is constant we can apply Boyle's law

$P1V1=P2V2$

Now the given values are

$P1=15.0 atm$

$V1=20.0L$

$P2=1.0 atm$

Substituting the given values we get,

$V2=\frac{15.0 atm\times 20.0 L}{1.0 atm}=300.0 L$

So the final volume, in liters, of this gas when it is released at a pressure of $1.0 atm$ with no change in temperature and amount of gas is $300.0L$